Question

Test 1) In a \(\triangle PAR\), S is a point on PR such that \(\angle QPS = \angle SPR\) Prove that: \(\triangle PQR \sim \triangle SPR\) 2) If QS = 5cm, SR = 4cm, find the length of PR. P S R 3) Find area of \(\triangle PAR\) : area of \(\triangle SPR\) 4) A scale of a model of a monument is made. The scale is 1:1000 5) If the height of the model is 4 cm, find the height of the monument in metre. 6) If the volume of the monument is 3000m³ find the volume of the model in cm³ 7) If the area of the monument is 900 m² find the area of the model in cm²

          Test
1) In a \(\triangle PAR\), S is a point on PR such that
\(\angle QPS = \angle SPR\)
Prove that:
\(\triangle PQR \sim \triangle SPR\)
2) If QS = 5cm, SR = 4cm,
find the length of PR.
P
S
R
3) Find area of \(\triangle PAR\) : area of \(\triangle SPR\)
4) A scale of a model of a monument is
made. The scale is 1:1000
5) If the height of the model is 4 cm, find
the height of the monument in metre.
6) If the volume of the monument is 3000m³
find the volume of the model in cm³
7) If the area of the monument is 900 m²
find the area of the model in cm²

Test
1) In a PAR, S is a point on PR such that
∠ QPS = ∠ SPR
Prove that:
PQR ∼ SPR
2) If QS = 5cm, SR = 4cm,
find the length of PR.
P
S
R
3) Find area of PAR : area of SPR
4) A scale of a model of a monument is
made. The scale is 1:1000
5) If the height of the model is 4 cm, find
the height of the monument in metre.
6) If the volume of the monument is 3000m³
find the volume of the model in cm³
7) If the area of the monument is 900 m²
find the area of the model in cm²

Added by Cristina C.

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